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2020

Elliptic Blowup Equations for 6d SCFTs. IV: Matters

Gu, Jie, Haghighat, Babak, Klemm, Albrecht et al.

Understand

Given the recent geometrical classification of 6d $(1,0)$ SCFTs, a major question is how to compute for this large class their elliptic genera.

The latter encode the refined BPS spectrum of the SCFTs, which determines geometric invariants of the associated elliptic non-compact Calabi-Yau threefolds.
In this paper we establish for all 6d $(1,0)$ SCFTs in the atomic classification blowup equations that fix these elliptic genera to large extent.
The latter fall into two types: the unity- and the vanishing blowup equations.